1065633408 has 160 divisors (see below), whose sum is σ = 3624598560. Its totient is φ = 304445952.

The previous prime is 1065633329. The next prime is 1065633421. The reversal of 1065633408 is 8043365601.

1065633408 is a `hidden beast` number, since 10 + 6 + 5 + 633 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×1065633408² = 2271149120491388928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65235 + ... + 79917.

It is an arithmetic number, because the mean of its divisors is an integer number (22653741).

Almost surely, 2^1065633408 is an apocalyptic number.

1065633408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812299280).

1065633408 is an abundant number, since it is smaller than the sum of its proper divisors (2558965152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1065633408 is an equidigital number, since it uses as much as digits as its factorization.

1065633408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14716 (or 14695 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1065633408 is about 32644.0409263314. The cubic root of 1065633408 is about 1021.4158883307.

The spelling of 1065633408 in words is "one billion, sixty-five million, six hundred thirty-three thousand, four hundred eight".